Question

The technician expects to find 24 defective bulbs when 336 are tested. Which statement explains whether the technician’s reasoning is correct, based on the information in the table?

Answer 1

The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.

Explanation:

We generally expect industrial processes to produce defects at about the same rate, meaning the proportion of defective product is generally considered to be a constant. Here, the proportion of defective bulbs is ...

... 1/14 = 2/28 = 6/84

so we expect it will be also 24/336. That is, the ratio of the number of bulbs tested to defective bulbs is expected to remain constant at about 14.